Question

Factorise:
$x^2+3\sqrt{3}x+6$

Answer 1

$x^2+3\sqrt{3}x+6=x^2+\sqrt{3}x+2\sqrt{3}x+6=x(x+\sqrt{3})+2\sqrt{3}(x+\sqrt{3})=(x+\sqrt{3})(x+2\sqrt{3})$